Question

Calculate the limit : $\lim_{x \to 0}\frac{x-\sin{x}}{x^3}$ WITHOUT using L'Hopital's rule

score 3.1k · Answer 1 · 2014-12-22 14:04:51

3.1k

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Calculate the limit : $\lim_{x \to 0}\frac{x-\sin{x}}{x^3}$ WITHOUT using L'Hopital's rule

Published on 22 Dec 2014 - 14:04

score 495 · Answer 2 · 2014-12-22 15:33:15

495

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How to find the value of $a$ and $b$ from this limit problem with or without L'Hopital's formula?

Published on 22 Dec 2014 - 15:33

score 163 · Answer 3 · 2014-12-24 06:31:53

163

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Why does $\lim_{x\to 0}x^{\cos 1/x}$ fluctuate between $0$ and $\infty$?

Published on 24 Dec 2014 - 6:31

score 319 · Answer 4 · 2014-12-26 11:06:38

319

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$\lim_{x\to0}\frac{\sin x-x}{x^3}$ without de l'Hospital's Rule?

Published on 26 Dec 2014 - 11:06

score 156 · Answer 5 · 2014-12-27 22:13:24

156

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Question on limit with square roots

Published on 27 Dec 2014 - 22:13

score 195 · Answer 6 · 2014-12-28 21:10:33

195

Views

Computing $\lim_{x \to \infty} \frac{|x^n|}{e^x}$

Published on 28 Dec 2014 - 21:10

score 551 · Answer 7 · 2015-01-01 11:51:40

551

Views

Simple limit problem without L'Hospital's rule

Published on 01 Jan 2015 - 11:51

score 72 · Answer 8 · 2019-10-02 23:05:39

72

Views

Show that $\lim_{x \rightarrow 0} \frac{\sin(x)}{x} = 1$ without using L'Hopital's rule

Published on 02 Oct 2019 - 23:05

score 214 · Answer 9 · 2026-03-25 12:52:16

214

Views

Elementary proof that $2^x$ is derivable

Published on 25 Mar 2026 - 12:52

score 439 · Answer 10 · 2019-10-07 00:18:31

439

Views

Evaluate the limit of $\frac{1}{\log(x)}$

Published on 07 Oct 2019 - 0:18

score 80 · Answer 11 · 2019-10-07 10:02:59

80

Views

Limit of a matrix multiplication with complex values

Published on 07 Oct 2019 - 10:02

score 77 · Answer 12 · 2019-10-07 11:47:26

77

Views

Find the two limits without the use of l'Hospital's rule or series expansion.

Published on 07 Oct 2019 - 11:47

score 74 · Answer 13 · 2019-10-08 20:51:08

74

Views

Limit $\lim_{x\rightarrow 0}\frac{e^{x}-1}{x^{2}}$ and problems

Published on 08 Oct 2019 - 20:51

score 40 · Answer 14 · 2019-10-10 09:23:03

40

Views

Find the limit of $\frac{1}{n^2(1+x^{2n})}$

Published on 10 Oct 2019 - 9:23

score 42 · Answer 15 · 2019-10-13 13:22:29

42

Views

$\lim\limits_{x \to +\infty} \frac{\cos(2x^{-\frac{1}{2}})-1}{\frac{\pi}{2}-\arctan(3x)}$

Published on 13 Oct 2019 - 13:22

List Question

Calculate the limit : $\lim_{x \to 0}\frac{x-\sin{x}}{x^3}$ WITHOUT using L'Hopital's rule

How to find the value of $a$ and $b$ from this limit problem with or without L'Hopital's formula?

Why does $\lim_{x\to 0}x^{\cos 1/x}$ fluctuate between $0$ and $\infty$?

$\lim_{x\to0}\frac{\sin x-x}{x^3}$ without de l'Hospital's Rule?

Question on limit with square roots

Computing $\lim_{x \to \infty} \frac{|x^n|}{e^x}$

Simple limit problem without L'Hospital's rule

Show that $\lim_{x \rightarrow 0} \frac{\sin(x)}{x} = 1$ without using L'Hopital's rule

Elementary proof that $2^x$ is derivable

Evaluate the limit of $\frac{1}{\log(x)}$

Limit of a matrix multiplication with complex values

Find the two limits without the use of l'Hospital's rule or series expansion.

Limit $\lim_{x\rightarrow 0}\frac{e^{x}-1}{x^{2}}$ and problems

Find the limit of $\frac{1}{n^2(1+x^{2n})}$

$\lim\limits_{x \to +\infty} \frac{\cos(2x^{-\frac{1}{2}})-1}{\frac{\pi}{2}-\arctan(3x)}$

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